Answer:
3.25 can be changed to either 3 and 1/4 or 13/4.
.115 can be reduced in a fraction to 23/200
Step-by-step explanation:
Answer:
The value of f(1) is larger than the value of f(3)
Step-by-step explanation:
Put the numbers in the equation and do the arithmetic.
f(1) = -2(1²) +3(1) +10 = 11
f(3) = -2(3²) +3(3) +10 = 1
11 is larger than 1, so f(1) is larger than f(3).
Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.
Step-by-step explanation:
Let slice of pizza cost x and a 12-ounce cola cost y.
Then Sara's order cost: 2x+y=3
and Sydney's order cost: 3x+2y=4.75
From the first equation we have: y=3-2x and put this to the second equation:
3x+2(3-2x)=4.75
3x+6-4x=4.75
x=1.25
y=3-1.25*2=0.50
Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.
Answer:
5b+1c=3b+5c
Step-by-step explanation:
Let's use the variable c for the circles and b for the boxes.
The weights are the same on both sides, so count the boxes and circles on each side.
There are 5 boxes and 1 circle on the left side. The left side of the equation says 5b+1c.
There are 3 boxes and 5 circles on the right side. The right side of the equation says 3b+5c.
And since the 2 sides are equal, you split the 2 sides of the equation with =.
5b+1c=3b+5c
Answer:
Step-by-step explanation:
Problem A
t(1) = 2(1) + 5
t(2) = 2*2 + 5 = 9
t(3) = 2*3 + 5 = 11
t(4) = 2*4 + 5 = 13
So this is the explicit result. Now try it recursively.
t_3 = t_2 + 2
t_3 = 9 + 2
t_3 = 11 which is just what it should do.
t_n = t_(n - 1) + 2
Problem B
t(1) = 3 * 1/2
t(1) = 3/2
t(2) = 3*(1/2)^2
t(2) = 3 * 1/4
t(2) = 3/4
t(3) = 3*(1/2)^3
t(3) = 3 * 1/8
t(3) = 3/8
t(4) = 3 (1/2)^4
t(4) = 3 (1/16)
t(4) = 3/16
So in general
t_n = t_n-1 * 1/2
For example t(5)
t_5 = t_4 * 1/2
t_5 = 3 /16 * 1/2 = 3/32
